Existence of solution to a nonlocal conformable fractional thermistor problem

TL;DR

This paper investigates the existence of solutions for a nonlocal thermistor problem involving conformable fractional derivatives, employing Schauder's fixed point theorem to establish the existence of a tube solution.

Contribution

It introduces a novel approach to nonlocal thermistor problems using conformable fractional derivatives and fixed point theory.

Findings

Existence of a tube solution established

Application of Schauder's fixed point theorem in this context

Extension to nonlocal fractional thermistor problems

Abstract

We study a nonlocal thermistor problem for fractional derivatives in the conformable sense. Classical Schauder's fixed point theorem is used to derive the existence of a tube solution.